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arXiv 2408.02753hep-ph
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重离子碰撞中能量-能量关联函数的因子化

Factorization for energy-energy correlator in heavy ion collision

Balbeer Singh, Varun Vaidya

AI总结:

本文利用软共线有效理论建立了重离子碰撞中能量-能量关联函数的因子化框架,分离喷注动力学与介质物理,揭示了高阶辐射修正导致的DGLAP和BFKL演化,并评估了非微扰物理的普适性。

摘要:

我们针对重离子碰撞情形,给出了共线极限下能量-能量关联函数的因子化公式。利用软共线有效理论(Soft Collinear Effective Theory),通过将喷注动力学与普适的介质物理分离,我们在微扰论所有阶上以规范不变算符的形式提供了一个完整的喷注产生与演化框架。该有效理论使我们能够精确界定不同近似的适用范围,并通过辐射修正系统地超越文献中的领头阶结果。对于这一观测量,我们展示了领头阶 GLV 和 BDMPS-Z 结果在何处有效,并推断高阶辐射修正会导致 DGLAP 和 BFKL 演化。我们进一步展示了 BFKL 重求和对两点能量关联函数的介质诱导喷注函数的影响。至关重要的是,有效理论方法使我们能够评估非微扰物理的普适性,这是在强耦合介质中获得预言能力的关键。

英文摘要:

We present a factorization formula for the energy-energy correlator in the collinear limit for the case of heavy ion collisions. Employing Soft Collinear Effective Theory, we provide a complete framework for jet production and evolution by separating the jet dynamics from the universal medium physics to all orders in perturbation theory in terms of gauge invariant operators. The EFT allows us to precisely define the domain of validity of different approximations and to systematically go beyond leading order results in the literature through radiative corrections. For this observable, we show where the leading order GLV and BDMPS-Z results are valid and infer that higher order radiative corrections lead to both DGLAP and BFKL evolutions. We further show the impact of BFKL resummation on the medium induced jet function for two point energy correlator. Crucially, the EFT approach enables us to evaluate the universality of the non-perturbative physics which is the key to predictive power in a strongly coupled medium.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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